Tutorial - Solving logarithmic equations ex 12, log5 - log2x=1

The video tutorial explains how to solve a logarithmic equation using the properties of logarithms. It begins with the problem statement and then discusses the properties of logarithms, particularly focusing on the quotient rule. The tutorial then demonstrates how to rewrite the logarithmic equation in exponential form, emphasizing the importance of the base. Finally, it walks through the steps to solve the equation, resulting in the solution for X. The tutorial concludes by summarizing the process and reinforcing the key concepts.

What is the result when you apply the quotient property of logarithms to log base B of X minus log base B of Y?

• log base B of X * Y

• log base B of X + Y

• log base B of X / Y

• log base B of Y / X

What base is assumed when no base is specified in a common logarithm?

• Base 10

• Base 5

• Base e

• Base 2

How do you express the equation log base 10 of (5 / 2X) = 1 in exponential form?

• 10^1 = X / 5

• 10^1 = 5 * 2X

• 10^1 = 2X / 5

• 10^1 = 5 / 2X

What operation is necessary to isolate X in the equation 20X = 5?

• Subtract 5 from both sides

• Multiply both sides by 20

• Divide both sides by 5

• Divide both sides by 20

What is the final value of X in the equation after solving 20X = 5?

• 1/10

• 1/5

• 1/2

• 1/4